define beta distribution function

how to define N=100000 random variables in beta distribution

Lower bound L (%) 1.0

Upper bound U (%) 3.5

Coefficient a (alpha) 0.23

Coefficient b (beta) 0.33

and also after defining it how to plot and check.

Answer 1

[Ameer Hamza]

If you have Statistics and Machine Learning Toolbox, then you can use betarnd(): https://www.mathworks.com/help/releases/R2020a/stats/betarnd.html

a = 0.23;
b = 0.33;

x = betarnd(a, b, 1, 100000);
histogram(x, 'Normalization', 'pdf')

[Saurabh Agarwal]

what about lower and upper limi of function.

[Ameer Hamza]

Beta random numbers are distributed between 0 and 1, what is the meaning of lower and upper limits? Do you just want to shift the lower value to 1 and upper value to 3.5.

[Saurabh Agarwal]

yes

[Saurabh Agarwal]

i want to shift this whole distribution gets shift between lower value 1 and upper value 3.5

[Saurabh Agarwal]

limits exists at x axis

[Saurabh Agarwal]

Someting like this but for the values defined as above i question

[Saurabh Agarwal]

as you can see that horizontal axis is limited to 0.4 to 1.2 and whole distibution is defined in it.

[Ameer Hamza]

Try this.

a = 0.23;
b = 0.33;
l = 1;
u = 3.3;

x = rescale(betarnd(a, b, 1, 100000), l, u);
histogram(x, 'Normalization', 'pdf')